A progressive wave of frequency 500 Hz is traveling with a speed of 350 m/s. A compression maximum appears, at a place at a given instant. The minimum time interval after which a rarefaction maximum occurs, at the same place is:
Correct answer: C. 1/1000 s
- A. 1/250 s
- B. 1/500 s
- C. 1/1000 s
- D. 1/350 s
Explanation
The wave speed (v) is given as 350 m/s, and the frequency (f) of the wave is 500 Hz, which means the time period (T) is T = 1/f = 1/500 s.The wavelength (λ) of the wave is related to the wave speed and the time period as follows: λ = v x T.Substitute the values: λ = 350 m/s x 1/500 s = 0.7 m.The time interval for a rarefaction maximum to occur at the same place is equal to the time taken for one full wavelength (from compression maximum to rarefaction maximum) to pass by.Time interval = T/2 = 1/2×500s = 1/1000. So, the correct option is C) 1/1000 s.
Last updated
About Waves
Progressive waves transfer energy through oscillations, with wavelength, frequency, amplitude and wave speed related by v = fλ; sound speed depends on the medium. Superposition produces interference and stationary waves in strings and organ pipes, while simple harmonic motion describes the oscillation itself and must be distinguished from wave propagation.
Practise Waves
1,281 free Waves MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Physics questions like this
Physics is on 13 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
Related questions
20 waves pass through a point in a medium, in 5 seconds. What is the time required for one wave to pass?
A 100 cm long string fixed at its two ends is plucked from the middle. The wavelength of stationary waves generated is:
A 100 cm long string fixed at its two ends is plucked from the middle. The wavelength of stationary waves generated is:
A 200 cm organ pipe with one end open is in resonance with a sound wave of wavelength 270 cm. The pipe is operating in its:
A car moving at 30 m/s toward an observer sounds its horn at 400 Hz. If the speed of sound is 343 m/s, what frequency does the observer hear?